$$\frac{ 1 }{ \frac{ x }{ \frac{ x }{ y } } }$$
$\frac{1}{y}$
$$\frac{\frac{x}{y}}{x}$$
$$\frac{x}{yx}$$
$$\frac{1}{y}$$
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$-\frac{1}{y^{2}}$
$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{\frac{x}{y}}{x})$$
$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{x}{yx})$$
$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{1}{y})$$
$$-y^{-1-1}$$
$$-y^{-2}$$
